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GR8677 #94 |
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Problem
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Electromagnetism }LR Circuit
Once the switch S is closed, although the initial current through the inductor is 0, the change in current through it is maximal. Recalling that , one realizes that the voltage across must be non-zero at the start. Thus, plots (C), (D), and (E) are eliminated.
Now, one must decide between choices (A) and (B). Once the circuit reaches equilibrium, i.e., the elements reach their asymptotic values. Specifically, the voltage at A goes to 0, since the inductor has no potential difference across it (to wit ). Once the switch is opened, the current suddenly changes, and , thus the inductor has a voltage across it, and the voltage at A becomes nonzero. Because of the diode, this would necessarily have to be a negative voltage. Since there is only to dissipate the voltage, the magnitude of the voltage once the switch is opened should be bigger than that initially, when the switch is closed at . Choose (B).
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Alternate Solutions |
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Comments |
madfish 2007-11-02 19:12:21 | always remember:
Low Frequencies:
inductors are shorts/Capacitors are open circuits
High Frequencies:
Capacitors are shorts/inductors are open
this will help you out greatly to save time
wangjj0120 2008-08-30 13:03:15 |
What does the comment mean?
Who can explain this~
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|  | Jeremy 2007-10-20 12:53:21 | After eliminating everything but (A) and (B), it made the most sense to me to consider the time constants ( ) for the two RL circuits. For the first decay, , and for the second, . It is given that , so that , i.e. . This is answer choice (B). |  | wzm 2006-11-03 11:43:29 | With switch closed, calling emf V, steady state current is

Open the switch and approximate that the inductor momentarily causes the current through it to remain the same. To do this requires the voltage at the top of the inductor to be

*3R{1} = 3V)
This is approximately what is shown in B. |  |
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